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Simplifying 3w + -49 = 7(w + -3) Reorder the terms: -49 + 3w = 7(w + -3) Reorder the terms: -49 + 3w = 7(-3 + w) -49 + 3w = (-3 * 7 + w * 7) -49 + 3w = (-21 + 7w) Solving -49 + 3w = -21 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -49 + 3w + -7w = -21 + 7w + -7w Combine like terms: 3w + -7w = -4w -49 + -4w = -21 + 7w + -7w Combine like terms: 7w + -7w = 0 -49 + -4w = -21 + 0 -49 + -4w = -21 Add '49' to each side of the equation. -49 + 49 + -4w = -21 + 49 Combine like terms: -49 + 49 = 0 0 + -4w = -21 + 49 -4w = -21 + 49 Combine like terms: -21 + 49 = 28 -4w = 28 Divide each side by '-4'. w = -7 Simplifying w = -7
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